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Raphael Restaurant is considering the purchase of a $9,700 soufflé maker. The so

ID: 2652755 • Letter: R

Question

Raphael Restaurant is considering the purchase of a $9,700 soufflé maker. The soufflé maker has an economic life of four years and will be fully depreciated by the straight-line method. The machine will produce 1,850 soufflés per year, with each costing $2.10 to make and priced at $5.10. Assume that the discount rate is 15 percent and the tax rate is 34 percent.

  

Raphael Restaurant is considering the purchase of a $9,700 soufflé maker. The soufflé maker has an economic life of four years and will be fully depreciated by the straight-line method. The machine will produce 1,850 soufflés per year, with each costing $2.10 to make and priced at $5.10. Assume that the discount rate is 15 percent and the tax rate is 34 percent.

Explanation / Answer

Answer:

Calculation of NPV of the Project

Year

Cash Flows (CF)

PVF (15%)

PV = CF*PVF

Purchase cost of soufflé maker

0

$             (9,700.00)

     1.00000

$ (9,700.00)

Tax Saving on depreciation = (9700/4)*34%

1 to 4

$                   824.50

     2.85498

$2,353.93

Annual Sales (Net of tax) = (1850 *5.10)*(1-0.34)

1 to 4

$               6,227.10

     2.85498

$17,778.24

Annual Costs (Net of tax) = (1850 *2.10)*(1-0.34)

1 to 4

$            (2,564.10)

     2.85498

($7,320.45)

Net Present value (sum of PVs)

$     3,111.72

Calculation of NPV of the Project

Year

Cash Flows (CF)

PVF (15%)

PV = CF*PVF

Purchase cost of soufflé maker

0

$             (9,700.00)

     1.00000

$ (9,700.00)

Tax Saving on depreciation = (9700/4)*34%

1 to 4

$                   824.50

     2.85498

$2,353.93

Annual Sales (Net of tax) = (1850 *5.10)*(1-0.34)

1 to 4

$               6,227.10

     2.85498

$17,778.24

Annual Costs (Net of tax) = (1850 *2.10)*(1-0.34)

1 to 4

$            (2,564.10)

     2.85498

($7,320.45)

Net Present value (sum of PVs)

$     3,111.72